# ComplexRadians

## ComplexRadians(x)

Returns the phase of complex number «x» in radians.

A complex number can be written in polar form as [math]\displaystyle{ r e^{\theta j} }[/math]. Given a complex number, «x», `ComplexRadians`

returns [math]\displaystyle{ \theta }[/math], the result being expressed in radians in the range of [math]\displaystyle{ [-\pi,\pi) }[/math].

## Examples

`ComplexRadians(5 + 5j) → 0.7854 {This is [math]\displaystyle{ \pi/4 }[/math]}`

`ComplexRadians(1j) → 1.571 {This is [math]\displaystyle{ \pi/2 }[/math]}`

`ComplexRadians(-1j) → -1.571`

`ComplexRadians(-2) → -3.142`

`ComplexRadians(.1) → 0`

## History

This function was introduced in Analytica 4.5.

## See Also

- ComplexDegrees
- Complex Numbers
- Abs -- for the magnitude,
*r* - Degrees
- Radians

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